Mathematical Problems and Examples, Arranged According to Subjects, from the Senate-House Examination Papers, 1821 to 1836 InclusiveW.P. Grant, 1836 - 335 sider |
Inni boken
Resultat 1-5 av 41
Side 6
... coefficient of the term involving ap.ba.c " . & c . 20. Apply the duodenary scale of notation to find the soli- dity of a cube , the side of which is 13ft . 7in . 7pts 21. Find a series of fractions converging to 17 . 22. The first term ...
... coefficient of the term involving ap.ba.c " . & c . 20. Apply the duodenary scale of notation to find the soli- dity of a cube , the side of which is 13ft . 7in . 7pts 21. Find a series of fractions converging to 17 . 22. The first term ...
Side 8
... coefficients of the expansion of ( a + b ) " . 44. There are four numbers , the first three of which are in arithmetical , and the last three in harmonical progression ; it is required to prove that the first has to the second the same ...
... coefficients of the expansion of ( a + b ) " . 44. There are four numbers , the first three of which are in arithmetical , and the last three in harmonical progression ; it is required to prove that the first has to the second the same ...
Side 14
... coefficients of the even and odd terms of any power of a + b are equal . 109. Find the n quantities x1 , X2 , X3 , .... Xn from the n equations : x1 + x2 а1x1 + Aziz a12x¡ + a22x2 + xn = A , • • + ax = 0 , n -- 1 • n + α , 2x2 = 0 , n n ...
... coefficients of the even and odd terms of any power of a + b are equal . 109. Find the n quantities x1 , X2 , X3 , .... Xn from the n equations : x1 + x2 а1x1 + Aziz a12x¡ + a22x2 + xn = A , • • + ax = 0 , n -- 1 • n + α , 2x2 = 0 , n n ...
Side 17
... coefficients of the terms of an expanded binomial are whole numbers , when the index is a whole number ; and the coefficients of the terms equidistant from the extremes are equal . 145. Prove that in any system of logarithms M log MN ...
... coefficients of the terms of an expanded binomial are whole numbers , when the index is a whole number ; and the coefficients of the terms equidistant from the extremes are equal . 145. Prove that in any system of logarithms M log MN ...
Side 24
... coefficient of 24 in the expansion of ( 1 + x + x2 ) 6 . 87968 214. Form the continued fraction corresponding to 277288 ' and determine the first five converging fractions . 215. Define the terms Logarithm , and System of Loga- rithms ...
... coefficient of 24 in the expansion of ( 1 + x + x2 ) 6 . 87968 214. Form the continued fraction corresponding to 277288 ' and determine the first five converging fractions . 215. Define the terms Logarithm , and System of Loga- rithms ...
Vanlige uttrykk og setninger
acted altitude angular apply attraction axes axis body centre of force centre of gravity chord circle coefficients cone conic section coordinates curvature cycloid cylinder density described determine diameter direction distance drawn earth eccentricity ecliptic ellipse equal equilibrium Explain Find the equation fixed fluid focus force varying geometrical given angle given point given velocity horizontal plane hyperbola inclined Integrate intersection Investigate latitude latus rectum length lens locus logarithmic longitude meridian moon moon's motion Newton nodes orbit oscillation parabola parallel particle passing perpendicular plane triangle position pressure projected Prop prove quantity ratio rays refraction revolving right angles right ascension roots shew sides sin² sine solid of revolution specific gravity sphere spherical reflector spherical triangle spheroid square straight line string surface tangent Trace the curve true anomaly varies inversely vertex vertical weight
Populære avsnitt
Side 3 - ... cuts the base, the rectangle contained by the sides of the triangle is equal to the rectangle contained by the segments of the base, together with the square on the straight line which bisects the angle.
Side 280 - A cone is a solid figure described by the revolution of a right-angled triangle about one of the sides containing the right angle, which side remains fixed.
Side 126 - If two straight lines meeting one another, be parallel to two straight lines which also meet one another, but are not in the same plane with the first two : the plane which passes through the first two is parallel to the plane passing through the others.
Side 2 - IN right angled triangles, the rectilineal figure described upon the side opposite to the right angle, is equal to the similar and similarly described figures upon the sides containing the right angle...
Side 2 - The angles which one straight line makes with another upon one side of it, are either two right angles, or are together equal to two right angles.
Side 255 - If a body be projected from a given point in a given direction with a given velocity...
Side 4 - If a solid angle be contained by three plane angles, any two of them are greater than the third.
Side 157 - To find the magnitude, direction, and point of application of the resultant of any number of parallel forces acting on a rigid body in one plane.
Side 7 - A and B can do a piece of work in m days, B and C in n days, and C and A in p days. In what time can each alone jjerform the work ? 39.
Side 314 - ... varies inversely as the square of the distance of the particle from the centre.